Slope
What is the slope in the equation y=3x+5
5
In the equation y = 2x + 3, what is the y-intercept?
3
Write an equation of a line with slope 4 and y-intercept 2.
y = 4x + 2
What does it mean when two lines are parallel in a system of equations?
the lines have the same slope but different y-intercepts
Which type of line is represented by the equation y = 5?
a horizontal line
What is the slope of a line that rises 3 units and runs 5 units to the right?
3/5
What does the y-intercept represent on a graph?
the point where the line crosses the y-axis
Write the equation of a line that has a slope of -3 and passes through the point (0, 5).
y = -3x + 5
What is the solution to the system of equations:
y = 2x + 1
y = -x + 4
(1, 3)
If the equation of a line is y = -x + 3, how do you graph this line?
plot the y-intercept (0, 3) and use the slope of -1 to go down 1 unit and right 1 unit?
The slope of a line is -2. What does this mean about the line’s direction?
the line goes down 2 units for every 1 unit it moves to the right?
Which equation represents a line with a y-intercept of -4 and a slope of 3?
y = 3x - 4
What is the slope-intercept form of the equation for a line with a slope of 2 and a y-intercept of -6?
y = 2x - 6
How many solutions are there to a system of equations with the same slope but different y-intercepts?
no solution
What is the first step in graphing the equation y = 2x - 3?
plot the y-intercept at (0, -3)
If the slope of a line is 0, what type of line is it?
horizontal line
If a line passes through the point (0, -2), what is the y-intercept of the line?
-2
Write an equation of a line that passes through the point (1, 2) and has a slope of 3.
y = 3x - 1
What method can be used to solve a system of equations by combining the equations to eliminate one variable?
the elimination method
What does the graph of the equation y = 2x + 1 look like?
a line with slope 2 that passes through the point (0, 1)
What is the slope of the line that passes through the points (2, 5) and (4, 9)?
2
What does the y-intercept tell you about a situation, such as the equation y = 0.5x + 4, in real-world terms?
the starting value or initial condition
Write the equation of a line with slope -1/2 that passes through the point (2, 3).
y = -1/2x + 4
Solve this system of equations using substitution:
y = 3x + 4
2x + y = 10
(1, 7)
How do you graph a line given the equation 3x - 2y = 6?
rewrite in slope-intercept form (y = mx + b) to get y = (3/2)x - 3, then graph the y-intercept (-3) and use the slope (3/2)